Non-commutative Hom-Poisson algebras

Details Non-commutative Hom-Poisson algebras Non-commutative Hom-Poisson algebras

2010-10-17

arxiv.org/abs/1010.3408v1

Mathematics

Rings and Algebras

23 pages

Scientific paper

A Hom-type generalization of non-commutative Poisson algebras, called non-commutative Hom-Poisson algebras, are studied. They are closed under twisting by suitable self-maps. Hom-Poisson algebras, in which the Hom-associative product is commutative, are closed under tensor products. Through (de)polarization Hom-Poisson algebras are equivalent to admissible Hom-Poisson algebras, each of which has only one binary operation. Multiplicative admissible Hom-Poisson algebras are Hom-power associative.

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